y = 9ln(x)
<span>y' = 9x^-1 =9/x</span>
y'' = -9x^-2 =-9/x^2
curvature k = |y''| / (1 + (y')^2)^(3/2)
<span>= |-9/x^2| / (1 + (9/x)^2)^(3/2)
= (9/x^2) / (1 + 81/x^2)^(3/2)
= (9/x^2) / [(1/x^3) (x^2 + 81)^(3/2)]
= 9x(x^2 + 81)^(-3/2).
To maximize the curvature, </span>
we find where k' = 0. <span>
k' = 9 * (x^2 + 81)^(-3/2) + 9x * -3x(x^2 + 81)^(-5/2)
...= 9(x^2 + 81)^(-5/2) [(x^2 + 81) - 3x^2]
...= 9(81 - 2x^2)/(x^2 + 81)^(5/2)
Setting k' = 0 yields x = ±9/√2.
Since k' < 0 for x < -9/√2 and k' > 0 for x >
-9/√2 (and less than 9/√2),
we have a minimum at x = -9/√2.
Since k' > 0 for x < 9/√2 (and greater than 9/√2) and
k' < 0 for x > 9/√2,
we have a maximum at x = 9/√2. </span>
x=9/√2=6.36
<span>y=9 ln(x)=9ln(6.36)=16.66</span>
the
answer is
(x,y)=(6.36,16.66)
Well, that's incorrect because according to the Order of Operation [GEMS\BOMDAS\PEMDAS etc.], that -7 has to be distributed amongst all the other terms in parentheses. Besides, you did the wrong operation when you inserted that subtraction symbol in substitution of the parentheses, which means to MULTIPLY. So, the order goes as follows:
12 - 7[72]
-504 + 12 = -492 [OR 12 - 504]
-492 is your answer. You get it now?
<h3>
Answer: 11/13</h3>
============================================================
Explanation:
Add up the four numbers given: 4+8+4+10 = 26 items total
Kick out the 4 black shirts since they are neither blue, nor are they pants.
So we have 26-4 = 22 items that are blue or a pair of pants (or both).
Divide that over the total (26) to get the probability we're after:
22/26 = (11*2)/(13*2) = 11/13
Side note: 11/13 = 0.8462 = 84.62% approximately
Answer:
b is the answer trust me i know
Step-by-step explanation:
Answer:
Original price: $
55
Discount percentage: 25
%
Discount: $13.75
Final Price: $41.25
